{"id":10687,"date":"2018-01-03T09:11:35","date_gmt":"2018-01-03T09:11:35","guid":{"rendered":"https:\/\/example.com\/?p=10687"},"modified":"2023-09-17T12:35:28","modified_gmt":"2023-09-17T05:35:28","slug":"cara-membandingkan-mengurutkan-dan-menyederhanakan-bilangan-pecahan","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/cara-membandingkan-mengurutkan-dan-menyederhanakan-bilangan-pecahan","title":{"rendered":"Cara Membandingkan, Mengurutkan, dan Menyederhanakan Bilangan Pecahan | Matematika Kelas 7"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; width: 820px;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_7.jpg\" alt=\"bilangan pecahan\" width=\"820\" height=\"410\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Seperti namanya, bilangan pecahan adalah bilangan yang dapat dipecah menjadi bagian yang tidak utuh. Bilangan pecahan merupakan suatu bagian dari bilangan yang terbagi menjadi bagian yang sama. <strong>Pada bilangan pecahan, ada yang disebut pembilang dan penyebut<\/strong>. Mari simak pembahasan lengkapnya, Squad!<\/span><\/p>\n<p><!--more--><\/p>\n<h2 style=\"font-size: 20px;\"><span style=\"color: #800080;\"><strong>Bentuk Penulisan<\/strong><\/span><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" style=\"width: 600px; display: block; margin-left: auto; margin-right: auto;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/cara%20penulisan%20pecahan.jpg\" alt=\"penulisan bilangan pecahan\" width=\"600\" height=\"300\" \/><\/p>\n<p style=\"text-align: justify;\">Kalau kamu belum tahu apa itu bilangan bulat dan faktor dari bilangan? Pelajari di\u00a0artikel<span style=\"background-color: transparent;\">\u00a0<a href=\"\/blog\/pengertian-dan-contoh-bilangan-bulat\" rel=\"noopener\"><strong>Pengertian dan Contoh Bilangan Bulat<\/strong><\/a>\u00a0dan\u00a0<strong><a href=\"\/blog\/fpb-dan-kpk-serupa-tetapi-tak-sama\" rel=\"noopener\">Keunikan FPB dan KPK<\/a>\u00a0<\/strong>ya.<\/span><\/p>\n<div><img loading=\"lazy\" decoding=\"async\" style=\"width: 600px; display: block; margin-left: auto; margin-right: auto;\" src=\"https:\/\/lh4.googleusercontent.com\/I8X9CbN0K8gHpGzmcva-sJuLbMn1aWNZW61rD8cbdgXzmq_kEoXLBfe-XZ5D851vJNCzpYzffiOkpL4R8W9DgLtiIjDYEEsZmZ3uQeADbCPCOdAFp0N5XV0v41EbJJSY_cSpvwLFtzJGmRh9CA\" alt=\"gambaran bilangan pecahan\" width=\"600\" height=\"250\" \/><\/div>\n<p style=\"text-align: center;\">\u00a0Gambaran bentuk pecahan (Sumber: socratic.org)<\/p>\n<h2 style=\"font-size: 18px;\"><span style=\"color: #800080;\"><strong>Cara Menyederhanakan Pecahan<\/strong><\/span><\/h2>\n<ul>\n<li style=\"text-align: justify;\"><strong>Metode 1:<\/strong> Membagi pembilang dan penyebut dengan bilangan bulat positif yang sama secara berulang-ulang sampai tidak dapat dibagi lagi.<\/li>\n<\/ul>\n<p>Contoh:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/cara%20mnenyederhanakan%20pecahan%20metode%201.png\" alt=\"cara mnenyederhanakan pecahan metode 1.png\" width=\"236\" height=\"63\" \/><\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Metode 2:<\/strong> Bentuk sederhana dari bilangan pecahan apabila FPB dari pembilang dan penyebutnya adalah 1. Jika FPB belum sama dengan 1, cara menyederhanakannya adalah dengan membagi pembilang dan penyebutnya dengan FPB tersebut.<\/li>\n<\/ul>\n<p>Contoh:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/cara%20mnenyederhanakan%20pecahan%20metode%202.png\" alt=\"cara mnenyederhanakan pecahan metode 2.png\" \/><\/p>\n<h2 style=\"font-size: 18px;\"><span style=\"color: #800080;\"><strong>Cara Membandingkan Pecahan<\/strong><\/span><\/h2>\n<ul>\n<li><strong>Metode 1:<\/strong> Untuk penyebut yang sama, hanya membandingkan pembilangnya.<\/li>\n<\/ul>\n<p>Contoh:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/cara%20membandingkan%20pecahan%20metode%201.png\" alt=\"cara membandingkan pecahan metode 1.png\" width=\"162\" height=\"54\" \/><\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Metode 2:<\/strong> Untuk penyebut yang berbeda, menyamakan penyebut terlebih dahulu lalu membandingkan pembilangnya. Cara menyamakan penyebut:\n<ul>\n<li style=\"text-align: justify;\">Cara I: Mengalikan atau membagi pembilang dan penyebut dengan bilangan bulat yang sama hingga penyebutnya sama.<\/li>\n<li style=\"text-align: justify;\">Cara II: Penyebutnya sama-sama dibuat menjadi KPK dari penyebutnya.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Contoh:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/cara%20membandingkan%20pecahan%20metode%202.png\" alt=\"cara membandingkan pecahan metode 2.png\" width=\"433\" height=\"126\" \/><\/p>\n<ul>\n<li>Metode <strong>BONUS:<\/strong> Kali silang antara pembilang dan penyebut.<\/li>\n<\/ul>\n<p>Contoh:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/cara%20membandingkan%20pecahan%20metode%20bonus.png\" alt=\"cara membandingkan pecahan metode bonus.png\" \/><\/p>\n<p><span style=\"color: #800080;\"><strong>Cara Mengurutkan Pecahan<\/strong><\/span><\/p>\n<p>Menyamakan penyebut -&gt; Mengurutkan pembilang.<\/p>\n<p>Urutan pembilang = Urutan pecahan.<\/p>\n<p>Contoh:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/cara%20mengurutkan%20pecahan.png\" alt=\"cara mengurutkan pecahan.png\" width=\"408\" height=\"172\" \/><\/p>\n<h2 style=\"font-size: 18px;\"><span style=\"color: #339966;\"><strong>Contoh Soal dan Pembahasan<\/strong><\/span><\/h2>\n<ol>\n<li>Perhatikan gambar di bawah!<\/li>\n<\/ol>\n<div><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/sFepnN30YIgW1U2iQ_t5Ec7DZgSw2sXCxqSBs_gRGLFSW_371fJMOoYj5whe6ffKnz1Q4Zty0iWpJYQNrvmJ2eXfkpBW0XbYgpdCims6nWd43tgD3T3rpWFdACwbuLjvH2TPqmWdXMZf3-J-WA\" alt=\"https:\/\/matematikastudycenter.com\/images\/bank-soal-kabataku-09-07.gif\" \/><\/div>\n<p>Nilai pecahan yang ditunjukkan daerah arsiran adalah&#8230;<\/p>\n<p>a. 1\/4<\/p>\n<p>b. 1\/3<\/p>\n<p>c. 2\/6<\/p>\n<p>d. 6\/2<\/p>\n<p><strong>(UN MATEMATIKA SMP\/MTs 2009)<\/strong><\/p>\n<p>Jawab:<\/p>\n<p style=\"text-align: justify;\">Ada 2 kotak yang diarsir dari 8 kotak dengan bagian yang sama, maka bilangan pecahannya , kemudian disederhanakan dengan dibagi 2 (FPB dari 2 dan 8) sebagai berikut:<\/p>\n<p>\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/jawaban%20soal%201.png\" alt=\"bilangan pecahan\" width=\"198\" height=\"57\" \/><\/p>\n<p>2. Perhatikan pecahan berikut:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/soal%20pecahan%202.png\" alt=\"soal pecahan 2.png\" \/><\/p>\n<p>Urutan pecahan dari yang terkecil ke yang terbesar adalah&#8230;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/soal%20pecahan%202--1.png\" alt=\"bilangan pecahan\" width=\"143\" height=\"206\" \/><\/p>\n<p><strong>(UN MATEMATIKA SMP\/MTs 2008)<\/strong><\/p>\n<p>Jawab:<\/p>\n<p>6\/9 disederhanakan dulu menjadi 2\/3. Kemudian, cara mengurutkan:<\/p>\n<ul>\n<li>Langkah pertama, menyamakan penyebut:<\/li>\n<\/ul>\n<p>KPK dari 4,5,7,9 adalah 2<sup>2<\/sup> x 3 x 5 x 7 = 420<\/p>\n<ul>\n<li>Langkah kedua, membandingkan pembilang<\/li>\n<li><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/pembahasan%20soal%20pecahan%202.png\" alt=\"bilangan pecahan\" width=\"596\" height=\"246\" \/><\/p>\n<p><span style=\"background-color: transparent;\">Maka, urutannya dari yang terbesar: 3\/4, 5\/7, 6\/9, 3\/5\u00a0<\/span><strong style=\"background-color: transparent;\">(jawaban C).<\/strong><\/p>\n<p style=\"text-align: justify;\">Sekarang sudah tahu, <em>kan<\/em>, bagaimana <strong>cara membandingkan, mengurutkan, dan menyederhanakan bilangan pecahan<\/strong>? Ingin menonton video pelajaran beranimasi yang sesuai dengan pelajaran sekolahmu? Yuk, gunakan\u00a0<a href=\"\/ruangbelajar\" target=\"_blank\" rel=\"noopener\"><strong>ruangbelajar\u00a0<\/strong><\/a>sekarang juga!<\/p>\n<p><a class=\"rg-cta\" style=\"text-align: center;\" href=\"https:\/\/link.ruangguru.com\/blPk\/eaff0eb9\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/cta\/0ec4a2df-db2e-4ae1-8473-692756dcb684.jpeg\" alt=\"IDN CTA Blog ruangbelajar Ruangguru\" width=\"822\" height=\"200\" \/><\/a><\/p>\n<p><strong>Referensi:<\/strong><\/p>\n<p>As&#8217;ari A.R, Tohir M, Valentino E, Imron Z, Taufiq I. (2017) Matematika SMP\/MTs Kelas VII Semester I. Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud<\/p>\n<p><strong>Sumber foto:<\/strong><\/p>\n<p>Ilustrasi &#8216;Bentuk Pecahan&#8217; [Daring]. Tautan: https:\/\/socratic.org\/questions\/what-is-an-equivalent-fraction-of-5-8 (Diakses: 17 Desember 2020)<\/p>\n<p>&nbsp;<\/p>\n<p><em>Artikel diperbarui pada 17 Desember 2020<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Seperti namanya, bilangan pecahan adalah bilangan yang dapat dipecah menjadi bagian yang tidak utuh. Bilangan pecahan merupakan suatu bagian dari bilangan yang terbagi menjadi bagian yang sama. Pada bilangan pecahan, ada yang disebut pembilang dan penyebut. Mari simak pembahasan lengkapnya, Squad!<\/p>\n","protected":false},"author":70,"featured_media":10687,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_7.jpg"],"_edit_lock":["1694928792:1"],"_edit_last":["1"],"_aioseo_title":[null],"_aioseo_description":[null],"_aioseo_keywords":[""],"_aioseo_og_title":[null],"_aioseo_og_description":[null],"_aioseo_og_article_section":[""],"_aioseo_og_article_tags":[""],"_aioseo_twitter_title":[null],"_aioseo_twitter_description":[null]},"categories":[467,471],"tags":[7,10,13,16],"class_list":["post-10687","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-smp-kelas-7","tag-kelas-7","tag-konsep-pelajaran","tag-matematika-vii","tag-smp"],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cara Membandingkan, Mengurutkan, dan Menyederhanakan Bilangan Pecahan | Matematika Kelas 7 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/staging-blog.sirogu.com\/blog\/cara-membandingkan-mengurutkan-dan-menyederhanakan-bilangan-pecahan\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Membandingkan, Mengurutkan, dan Menyederhanakan Bilangan Pecahan | Matematika Kelas 7 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"Seperti namanya, bilangan pecahan adalah bilangan yang dapat dipecah menjadi bagian yang tidak utuh. 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